Binomial distribution

X-B(n,p) then:

p(X=r) =

r = no. of successes out of n

n = no. of trials

p = probability of success

binomial distribution needs …

to have a fixed probability of success, be independent events, have a clear success or fail

null hypothesis

H_0. This is the defualt position, e.g. what we expect to happen in an experiment.

alternative hypothesis

H_{1. This is what we suspect is actually happening}

test statistic

this is what we observed when we actually did the test

significance level

the maximum probability where we would reject the null hypothesis

critical region

the range of values of the test statistic that would lead you to rejecting null hypothesis

steps for actually doing a test

1. find the test statistic and p

2. write the null and alternative hypothesis

3. determine the probability of the observed test statistic

4. two part conclusion: do we reject null hypothesis? put it into context of original problem